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Finding the Fourth Proportional to 199,584,047.20, 278,737,421.60 and 199,584,047.20

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Solution

The fourth proportional to 199,584,047.20, 278,737,421.60 and 199,584,047.20 is: 278,737,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584,047.20 : 278,737,421.60 = 199,584,047.20 : x
  2. Step 2: Convert to fraction form
    199,584,047.20/278,737,421.60 = 199,584,047.20/x
  3. Step 3: Cross multiply
    199,584,047.20x = 278,737,421.60 × 199,584,047.20
  4. Step 4: Simplify right side
    199,584,047.20x = 55,631,542,709,020,704
  5. Step 5: Solve for x
    x = 55,631,542,709,020,704/199,584,047.20
  6. Step 6: Final answer
    x = 278,737,421.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.